Publication Cover
Applicable Analysis
An International Journal
Volume 27, 1988 - Issue 1-3
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Original Articles

Exponentially asymptotically stable dynamical systems

Stability theorem for the delay-differntial equations x1(t) = a(t)x(t - p(t)) - b(t)x(t r(t))

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Pages 235-242 | Published online: 02 May 2007

References

  • Atkinson , F.V. and Haddock , J.R. 1983 . Criteria for asymptotic constancy of solutions of functional differential equations . J. Math, Anal, Appl , 91 : 410 – 423 .
  • Hale , J.K. Theory of functional differential equations , 1977 New York : Springer-Verlag .
  • Lillo , J.C. 1969 . Oscillatory solutions of the equation y' (x) = m(x)y(x-n(x)) . J. Differential Equations , 6 : 1 – 35 .
  • Myskis , A.D. 1951 . On the solutions of linear homogeneous differential equations of the first order and stable type with retarded arguments . Mat. Sb. , 28 : 641 – 658 .
  • Yoneyama , T. 1951 . On the - stability theorem for one dimensional delay-differential equations . J. Math. Anal. Appl. , 28
  • Yoneyama , T. and Sugie , J. 1951 . Perturbing uniformly stable nonlinear scalar delay-differential equations . Nonlinear Analysis TMA , 28
  • Yorke , J.A. 1970 . Asymptotic stability for one dimensional differential-delay equations . J. Differential Equations , 7 : 189 – 202 .

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